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Journal of Lie Theory 18 (2008), No. 1, 045--066
Copyright Heldermann Verlag 2008

Parametrization of coadjoint orbits of Rn times R

Béchir Dali
Dept. of Mathematics, Faculty of Sciences, 7021 Zarzouna - Bizerte, Tunisia


\def\sdir#1{\hbox{$\mathrel\times{\hskip -4.6pt {\vrule height 4.7 pt depth .5 pt}}\hskip 2pt_{#1}$}} We give an algorithm for an explicit construction of quantizable canonical coordinates on the coadjoint orbits across entire specific layers and an explicit description for the cross-section of the type I Lie group $\mathbb{R}^n\sdir{}\mathbb{R}$.

Keywords: Coadjoint orbits, parametrization.

MSC: 22E25, 53D50

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